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Finding the Third Proportional to 165,594,895,074 and 360,203,729,314.50

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Solution

The third proportional to 165,594,895,074 and 360,203,729,314.50 is: 783,518,879,335.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,594,895,074 : 360,203,729,314.50 = 360,203,729,314.50 : x
  2. Step 2: Convert to fraction form
    165,594,895,074/360,203,729,314.50 = 360,203,729,314.50/x
  3. Step 3: Cross multiply
    165,594,895,074x = 360,203,729,314.50 × 360,203,729,314.50
  4. Step 4: Simplify right side
    165,594,895,074x = 129,746,726,612,073,592,127,488
  5. Step 5: Solve for x
    x = 129,746,726,612,073,592,127,488/165,594,895,074
  6. Step 6: Final answer
    x = 783,518,879,335.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.